Arc length calculation

A question is this type if and only if it asks to find the length of an arc given radius and angle, or to find radius/angle given arc length.

4 questions · Easy -1.1

1.05d Radians: arc length s=r*theta and sector area A=1/2 r^2 theta
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OCR MEI C2 2006 January Q7
5 marks Easy -1.2
7 In Fig. 7, A and B are points on the circumference of a circle with centre O . Angle \(\mathrm { AOB } = 1.2\) radians. The arc length AB is 6 cm . \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{15b8f97b-c058-409f-907f-cb0a6102abc4-3_371_723_1048_833} \captionsetup{labelformat=empty} \caption{Fig. 7}
\end{figure}
  1. Calculate the radius of the circle.
  2. Calculate the length of the chord AB .
OCR MEI C2 2009 June Q4
4 marks Easy -1.2
4 A sector of a circle of radius 18.0 cm has arc length 43.2 cm .
  1. Find in radians the angle of the sector.
  2. Find this angle in degrees, giving your answer to the nearest degree.
AQA C2 2011 January Q1
4 marks Easy -1.2
1 The diagram shows a sector \(O A B\) of a circle with centre \(O\) and radius 5 cm . \includegraphics[max width=\textwidth, alt={}, center]{1c06ba04-575c-4eb8-b4aa-0a7510838cd2-02_415_525_550_794} The angle between the radii \(O A\) and \(O B\) is \(\theta\) radians.
The length of the \(\operatorname { arc } A B\) is 4 cm .
  1. Find the value of \(\theta\).
  2. Find the area of the sector \(O A B\).
WJEC Unit 3 2018 June Q2
4 marks Moderate -0.8
The diagram below shows a circle centre O, radius 4 cm. Points A and B lie on the circumference such that arc AB is 5 cm. \includegraphics{figure_2}
  1. Calculate the angle subtended at O by the arc AB. [2]
  2. Determine the area of the sector OAB. [2]